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Mathematics Archives
Math Archives: Visual Calculus: Antiderivatives/average Value of a Function
This site has the definition of average of a function by using integrals. The site also contains the proof of the mean value theorem which may be viewed one step at a time. There are links to related exercises whose answer is shown one...
Texas Instruments
Texas Instruments: Integration
This is a set of problems involving the concepts of integrals and antiderivatives. The problems are similar to those encountered during the third quarter of a typical calculus course.
Harvey Mudd College
Harvey Mudd College: Tutorials Hmc Calculus Tutorial
This site has tutorials on pre calculus and calculus. The integration tutorial is under the name antiderivative
Mathematics Archives
Math Archives: Visual Calculus: Antiderivatives / Integration by Parts
Good site with an example that is solved step by step for the student
Mathematics Archives
Math Archives: Visual Calculus: Antiderivatives / Integration by Parts
This site has worked out examples the student can examine.
Mathematics Archives
Math Archives: Antiderivatives
This site from the University of Tennessee, Knoxville defines Improper Integrals and presents examples the student can work and then check online
Massachusetts Institute of Technology
Mit: Calculus for Beginners and Artists
Students learn about Calculus concepts through online notes, applets, and dialogs. Topics include derivatives, integrals, linear functions, and derivative applications.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Advanced Integration Techniques
Hotmath provides 23 practice problems dealing with advanced integration techniques. Each of the practice problems include a step-by-step guide for solving the integral.
Texas Instruments
Texas Instruments: Riemann Sums and the Fundamental Theorem of Calculus
In this activity, students learn and explore how Indefinite integrals are used to find the antiderivative of a function. They also learn that Definite integrals can be used to find the area bounded by a function and the X-axis. From...
Mathematics Archives
Math Archives: Calculus at the University of Tennessee Knoxville: 142 Table of Contents
At this site the student can move to sites on various topics in calculus. The site then has a link to both a tutorial and example site
Other
Dans Math: Lessons: Calculus (Part 2)
College professor Dan Bach offers a review of the calculus concepts of integrals and vectors. Examples and animated graphs are provided.
Wolfram Research
Wolfram Math World: Indefinite Integral
This MathWorld site offers an explanation of the indefinite integral. Includes links to related topics within the explanation.
Other
Karl's Calculus Tutor: Methods of Integration
This site provides a detailed overview of the various methods of integration. This first page covers the "gist" of the methods available, followed by much more detail on subsequent pages.
Curated OER
University of Tennessee: Antiderivatives
This site from the University of Tennessee, Knoxville defines Improper Integrals and presents examples the student can work and then check online
Texas Instruments
Texas Instruments: Let's Integrate All Things Easy
This activity is designed to help students deal with the method of integration by parts. In this method, students usually have trouble figuring out what they should set u equal to.
Texas Instruments
Texas Instruments: Integration Crossing
This worksheet allows the students the opportunity to learn how to use the graphing calculator to compute anti-derivatives.
Texas Instruments
Texas Instruments: The Region Between Two Curves
This activity is an application of integration. Students use calculus to find the area of a region and the volumes of solids generated by the region. They use the CAS of their TI-89 and calculus to determine the exact answers.
Texas Instruments
Texas Instruments: Solving Differential Equations Using Euler
This activity involves using the graphing calculator to find an approximate solution to a differential equation with Euler's Method, find the actual solution to the differential equation, and compare the two solutions.
Texas Instruments
Texas Instruments: Computing Indefinite Integrals
Ideas for using Symbolic Math Guide (SMG) to help you learn to solve indefinite integration problems. The key transformations in SMG are substitution and integration by parts.
Texas Instruments
Texas Instruments: Sums of Rectangle Areas: Approximate Integrals
This activity will show a function with rectangle areas on the graphing calculator.
Texas Instruments
Texas Instruments: Average Value
The definite integral is used to find the average value of a function. It will show the steps of the 2nd Fundamental Theorem and also the alternate approach of having the capabilities of the graphing calculator work the entire problem at...
Texas Instruments
Texas Instruments: Integration
This activity explains how to input integrals into a graphing calculator.
Texas Instruments
Texas Instruments: Integral Test
This activity will demonstrate the use of the integral test to discuss the convergence of an infinite series.
Texas Instruments
Texas Instruments: Sands of Time
In this activity, students can use a graphing calculator to find a regression equation and then interpolate the data from the equation using integration. They will explore the length of day during the winter and summer solstice at...